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Finding the Third Proportional to 252,963 and 538,698

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Solution

The third proportional to 252,963 and 538,698 is: 1,147,185.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,963 : 538,698 = 538,698 : x
  2. Step 2: Convert to fraction form
    252,963/538,698 = 538,698/x
  3. Step 3: Cross multiply
    252,963x = 538,698 × 538,698
  4. Step 4: Simplify right side
    252,963x = 290,195,535,204
  5. Step 5: Solve for x
    x = 290,195,535,204/252,963
  6. Step 6: Final answer
    x = 1,147,185.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.